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Finding the Fourth Proportional to 145,660.24, 218,490.36 and 83,287

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Solution

The fourth proportional to 145,660.24, 218,490.36 and 83,287 is: 124,930.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,660.24 : 218,490.36 = 83,287 : x
  2. Step 2: Convert to fraction form
    145,660.24/218,490.36 = 83,287/x
  3. Step 3: Cross multiply
    145,660.24x = 218,490.36 × 83,287
  4. Step 4: Simplify right side
    145,660.24x = 18,197,406,613.32
  5. Step 5: Solve for x
    x = 18,197,406,613.32/145,660.24
  6. Step 6: Final answer
    x = 124,930.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.